Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450l |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
-329777152000000 = -1 · 225 · 56 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15913,-1172969] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1112:1] |
Generators of the group modulo torsion |
j |
-28520791922377/21105737728 |
j-invariant |
L |
11.960189295841 |
L(r)(E,1)/r! |
Ω |
0.20588991069864 |
Real period |
R |
1.1618043113678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1258c1 |
Quadratic twists by: 5 |